Study Notes for Differential Equations

TO DO List:

  • Jan.31 Module1 Modeling via Differential Equations
  • Feb.4 Module2 What is A Differential Equations
  • Feb.6 Module3 Separation of Variables - An Analytic Technique
  • Feb.8 Module4 Slope Fields — A Geometric and Qualitative Technique
  • Feb.10 Module5 Euler's Method — A Numerical Technique
  • Feb.13 Module6 Existence and Uniqueness of Solutions
  • Feb.15 Module7 Autonomous Equations and their Phase Lines
  • Feb.20 Module8 Bifurcations
  • Feb.21 Module9 Linear Differential Equations
  • Feb.28 Module10 Systems of Differential Equations
  • Mar.07 Module11 Vector Fields, Direction Fields, Phase Plane
  • Mar.08 Module12 Damped Harmonic Oscillation
  • Mar.13 Module13 Analytic Methods for Special Systems
  • Mar.13 Module14 Euler's Method for Systems
  • Mar.20 Module15 Existence and Uniqueness Theory for Systems
  • Mar.20 Module16 The SIR Model of an Epidemic
  • May.5 Module1 Linear Systems and the Linearity Principle